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Approximation by Means of Fourier Trigonometric Series in Weighted Orlicz Spaces

Guven|Israfilov
장전수학회 (Jangjeon Mathematical Society)|2009.10|Advanced Studies in Contemporary Mathematics|제19권 제2호|pp. 283-295

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참고문헌

키워드

Muckenhoupt weightAbel-Poisson meanCesaro meanWeighted Orlicz spaceZygmund mean.
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초록

The order of approximation of Cesaro, Zygmund and Abel-Poisson means of Fourier trigonometric series were estimated by the modulus of continuity in re‡exive weighted Orlicz spaces with Muckenhoupt weights. These results were applied to estimate the rate of approximation of Cesaro, Zygmund and Abel sums of Faber series in weighted Smirnov-Orlicz classes de…ned on simply connected domains of the complex plane.

Abstract

The order of approximation of Cesaro, Zygmund and Abel-Poisson means of Fourier trigonometric series were estimated by the modulus of continuity in re‡exive weighted Orlicz spaces with Muckenhoupt weights. These results were applied to estimate the rate of approximation of Cesaro, Zygmund and Abel sums of Faber series in weighted Smirnov-Orlicz classes de…ned on simply connected domains of the complex plane.

참고문헌 (31)

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